APPENDIX C: FORMULAS FOR 
EVALUATION OF CERTAIN INTEGRALS 
The recursion relationships used in evaluating the integrals 
(15a), (15b), (15c) are proved by using mathematical induc- 
tion. As an example the relationships 
27 
en x ts (2n-1)(2n-3)...5- 3-1 
J cos Voll Ona Geman aN. (eu) 
(@) 
and 
2 
[cos 1(g-Go dg = 0, n=1,2... (C2) 
Oo 
will be proved. Equation (C1) is first proved. Forn = 1 
2 
ie (GGo dg = 1/2(9-Po )+1/4sin2(-Go) ait 
fe) 
Assume that equation (C1) is true for n = & 
Then 
eT] PAN 
| costs V(9-Go )dg = | cos (Z-Bo dw 
= 1 2hk+ . aM Spee ok * 
= 3775 COS Xp fo )sin(g-po)| oper cos’ (2Bo )dg 
(e) 
“Reference 8, page 38, integral 267. 
43 
